A student bikes to school by traveling first d_N = 1.10 miles north, then d_W = 0.500 miles west, and finally d_S = 0.200 miles south.

You will now find the same quantity algebraically, without the need to use much geometry. Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking.
Let d_vec_N be the displacement vector corresponding to the first leg of the student's trip. Express d_vec_N in component form.
Express your answer as two numbers separated by a comma (e.g., 1.0,2.0). By convention, the x component is written first.

find the x- and y- component of vector R which has a length of 13cm at 30.0 degrees

To express the displacement vector, d_vec_N, in component form, we need to determine the values for the x and y components.

Given that the student bikes 1.10 miles north, we know that the y component of the displacement vector, d_N, is positive 1.10.

The x component of the displacement vector is zero since the student does not move in the east-west direction (no displacement).

Therefore, the component form of the displacement vector, d_vec_N, is (0, 1.10).